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An experiment measures qunatites a, b an...

An experiment measures qunatites a, b and c, and X is calculate dfrom `X=ab^(2)//c^(3)`. If the percentage error in a,b and c are `+-1%,+-3%` and `+-2%` respectively, the percentage error in X will be -

A

`pm 13 % `

B

`pm 7 % `

C

`pm 4 % `

D

`pm 1 %`

Text Solution

Verified by Experts

The correct Answer is:
A
`X = ab^(2) //c^(3) rArr (Delta X)/(X) = (Delta a )/(a) pm 2 (Delta b)/(b) pm 3 (Delta c)/(c )`
`(Delta X)/(X) xx 100 = pm 1 % pm 2 xx 3% pm 3 xx 2% = pm 13 % `
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